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27^x=9^4

 Nov 13, 2015

Best Answer 

 #1
avatar+16 
+5

27= 94

27x = 6,561

= log276,561

x = 2.6666...

πŸ––πŸΌπŸ––πŸΌπŸ––πŸΌπŸ––πŸΌπŸ––πŸΌ

 Nov 13, 2015
 #1
avatar+16 
+5
Best Answer

27= 94

27x = 6,561

= log276,561

x = 2.6666...

πŸ––πŸΌπŸ––πŸΌπŸ––πŸΌπŸ––πŸΌπŸ––πŸΌ

Creep2DJ Nov 13, 2015
 #2
avatar+130514 
+5

Here's a slightly easier method that doesn't require a calculator

 

27^x = 9^4

 

[3 ^3]^x  = [3^2]^4

 

[3]^(3x)  = [3]^(80        and since the bases are equal, we can solve for the wxponents

 

3x = 8     divide both sides by 3

 

x = 8/3   =  2+ 2/3   =  2.6666......   [6's repeat ]

 

 

 

cool cool cool

 Nov 13, 2015

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